Others Maths Puzzle

In a pond there was a rose. Daily it was being twice. When was it half of the pond, if it covered the pond on 23rd day?

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Others Other Question

a cat show is featuring six different cats. two are persians, teo are siamese, and two are Burmese. Hoe many ways can the organizer arrange the cats if all the cats of the same breed are to stand next to each other? if 30x+31y+29z=366
find x+y+z?